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Finding the Fourth Proportional to 18,585.32, 27,882.36 and 6,105.38

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Solution

The fourth proportional to 18,585.32, 27,882.36 and 6,105.38 is: 9,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585.32 : 27,882.36 = 6,105.38 : x
  2. Step 2: Convert to fraction form
    18,585.32/27,882.36 = 6,105.38/x
  3. Step 3: Cross multiply
    18,585.32x = 27,882.36 × 6,105.38
  4. Step 4: Simplify right side
    18,585.32x = 170,232,263.69
  5. Step 5: Solve for x
    x = 170,232,263.69/18,585.32
  6. Step 6: Final answer
    x = 9,159.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.